Year 11 Expanding Brackets Worksheet — Level 2 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 11 algebraic expressions worksheet.
Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Algebraic ExpressionsYear 11 Expanding Brackets Worksheet — Level 2 — Practice Set 4 — Answers
Multiply every term inside the bracket. Then collect like terms.
1.Expand and simplify: (x + 8)(x − 8)
Answer: x2 − 64
- x × x = x2
- x × −8 + 8 × x = 0
- 8 × −8 = −64
2.Expand and simplify: (x + 4)(x − 3)
Answer: x2 + x − 12
- x × x = x2
- x × −3 + 4 × x = x
- 4 × −3 = −12
3.Expand and simplify: (x + 1)(x + 8)
Answer: x2 + 9x + 8
- x × x = x2
- x × 8 + 1 × x = 9x
- 1 × 8 = 8
4.Expand and simplify: (x − 7)(x + 2)
Answer: x2 − 5x − 14
- x × x = x2
- x × 2 + −7 × x = −5x
- −7 × 2 = −14
5.Expand and simplify: (x − 5)(x − 6)
Answer: x2 − 11x + 30
- x × x = x2
- x × −6 + −5 × x = −11x
- −5 × −6 = 30
6.Expand and simplify: (x + 3)(x + 5)
Answer: x2 + 8x + 15
- x × x = x2
- x × 5 + 3 × x = 8x
- 3 × 5 = 15
7.Expand and simplify: (x − 6)(x + 3)
Answer: x2 − 3x − 18
- x × x = x2
- x × 3 + −6 × x = −3x
- −6 × 3 = −18
8.Expand and simplify: (x − 8)(x − 9)
Answer: x2 − 17x + 72
- x × x = x2
- x × −9 + −8 × x = −17x
- −8 × −9 = 72
9.Expand and simplify: (x − 7)(x − 8)
Answer: x2 − 15x + 56
- x × x = x2
- x × −8 + −7 × x = −15x
- −7 × −8 = 56
10.Expand and simplify: (x − 1)(x − 7)
Answer: x2 − 8x + 7
- x × x = x2
- x × −7 + −1 × x = −8x
- −1 × −7 = 7
11.Expand and simplify: (x − 2)(x + 2)
Answer: x2 − 4
- x × x = x2
- x × 2 + −2 × x = 0
- −2 × 2 = −4
12.Expand and simplify: (x + 6)(x − 3)
Answer: x2 + 3x − 18
- x × x = x2
- x × −3 + 6 × x = 3x
- 6 × −3 = −18
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